What is the Greatest Common Factor of 64140 and 64158?

Greatest common factor (GCF) of 64140 and 64158 is 6.

GCF(64140,64158) = 6

We will now calculate the prime factors of 64140 and 64158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64158.

How to find the GCF of 64140 and 64158?

We will first find the prime factorization of 64140 and 64158. After we will calculate the factors of 64140 and 64158 and find the biggest common factor number .

Step-1: Prime Factorization of 64140

Prime factors of 64140 are 2, 3, 5, 1069. Prime factorization of 64140 in exponential form is:

64140 = 2² × 3¹ × 5¹ × 1069¹

Step-2: Prime Factorization of 64158

Prime factors of 64158 are 2, 3, 17, 37. Prime factorization of 64158 in exponential form is:

64158 = 2¹ × 3¹ × 17² × 37¹

Step-3: Factors of 64140

List of positive integer factors of 64140 that divides 64140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1069, 2138, 3207, 4276, 5345, 6414, 10690, 12828, 16035, 21380, 32070

Step-4: Factors of 64158

List of positive integer factors of 64158 that divides 64140 without a remainder.

1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 289, 578, 629, 867, 1258, 1734, 1887, 3774, 10693, 21386, 32079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64158. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64158 is 6.

Also check out the Least Common Multiple of 64140 and 64158